Question
For how long does the principal amount of €7,537 bring the same interest as the principal amount of €12,345 invested for 8 months? Interest calculation is simple and decursive.
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Answer to a math question For how long does the principal amount of €7,537 bring the same interest as the principal amount of €12,345 invested for 8 months? Interest calculation is simple and decursive.
Miles
4.9115 Answers
Da bismo riješili ovaj problem, trebamo upotrijebiti formulu za jednostavne kamate, koja je dana kao:
I = Prt
gdje je I kamata, P je glavnica, r je kamatna stopa, a t je vrijeme.
S obzirom na to da glavnica od 7.537 € donosi istu kamatu kao i glavnica od 12.345 € uložena za 8 mjeseci. Pretpostavimo da je kamatna stopa ista za oba iznosa i označimo je s r. Tada možemo napisati:
$7537rt = 12345r \times \frac{8}{12}$$
Pojednostavljenjem i rješavanjem za t, dobivamo:
t = \frac{12345 \times 8}{7537 \times 12}
t \približno 1,09
Dakle, iznos glavnice od 7.537 € donosi istu kamatu kao i iznos glavnice od 12.345 € uložen na 8 mjeseci ako se uloži na oko 1,09 godina.
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